MH2100 Calculus III
Week 3
Partial derivatives and classification of extreme points
Instructor: Gary Greaves
Labelling coordinate axes
I
When we have just one variable we commonly label it as x.
I
When we have two variables we commonly label them as x
and

Problem Set 11
MH2100
Solutions
For more practice:
Stewart:
Section 17.8 exercises 1-12, 16-20.
Sections 16.5-17.7 various exercises on applications of integration.
1
Questions on understanding the lecture
E
Given a parametric surface S = (D), what is the

Problem Set 10
MH2100/MTH211
Solutions
1
Questions on understanding the lecture
b
E
The Newton-Leibniz formula a
= (b) (a) was proved in lectures only
for a smooth curve C . Does the formula hold for piecewise smooth curves?
S
Yes, we can just sum it over

Problem Set 9
MH2100/MTH211
Solutions
1
Questions on understanding the lecture
Given a curve C , what is
E
C
1
?
S
The arc length of the curve. By the denition with Riemann sums, the sum of
all is an approximation of the length of C , which converges to t